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Finding the Fourth Proportional to 3,583.84, 4,946.40 and 2,011.84

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Solution

The fourth proportional to 3,583.84, 4,946.40 and 2,011.84 is: 2,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.84 : 4,946.40 = 2,011.84 : x
  2. Step 2: Convert to fraction form
    3,583.84/4,946.40 = 2,011.84/x
  3. Step 3: Cross multiply
    3,583.84x = 4,946.40 × 2,011.84
  4. Step 4: Simplify right side
    3,583.84x = 9,951,365.38
  5. Step 5: Solve for x
    x = 9,951,365.38/3,583.84
  6. Step 6: Final answer
    x = 2,776.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.